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Chapter 5: Q. 75 (page 270)

If f(7)=3 and f is one-to-one, what isf-1(13)?

Short Answer

Expert verified

If the functionfis one to one function andf(7)=3thenf-1(13)=7

Step by step solution

01

Step 1. Given data

Function f is one to one function

f(7)=13

02

Step 2. inverse function value

If a function f(x)is one to one function

and f(a)=b

thenf-1(b)=a

as f(7)=13

sof-1(13)=7

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Most popular questions from this chapter

Begin with the graph of y=exand use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

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The function f(x)=|x|is not one-to-one. Find a suitable restriction on the domain of f so that the new function that results is one-to-one. Then find the inverse of f.

solve each equation. Verify your results using a graphing utility.

9-x+15=27x

the function f is one-to-one. Find its inverse and check your answer.

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Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

True or False

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